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Finding the Third Proportional to 93,807 and 191,436

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Solution

The third proportional to 93,807 and 191,436 is: 390,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,807 : 191,436 = 191,436 : x
  2. Step 2: Convert to fraction form
    93,807/191,436 = 191,436/x
  3. Step 3: Cross multiply
    93,807x = 191,436 × 191,436
  4. Step 4: Simplify right side
    93,807x = 36,647,742,096
  5. Step 5: Solve for x
    x = 36,647,742,096/93,807
  6. Step 6: Final answer
    x = 390,671.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.